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Artificial Neural Networks have captured the interest of many
researchers in the last five years. As with many young fields,
neural network research has been largely empirical in nature,
relyingstrongly on simulationstudies ofvarious network models.
Empiricism is, of course, essential to any science for it provides
a body of observations allowing initial characterization of the
field. Eventually, however, any maturing field must begin the
process of validating empirically derived conjectures with rigorous
mathematical models. It is in this way that science has always pro
ceeded. It is in this way that science provides conclusions that
can be used across a variety of applications. This monograph by
Michael Lemmon provides just such a theoretical exploration of the
role ofcompetition in Artificial Neural Networks. There is "good
news" and "bad news" associated with theoretical research in neural
networks. The bad news isthat such work usually requires the
understanding of and bringing together of results from many
seemingly disparate disciplines such as neurobiology, cognitive
psychology, theory of differential equations, largc scale systems
theory, computer science, and electrical engineering. The good news
is that for those capable of making this synthesis, the rewards are
rich as exemplified in this monograph."
Hybrid systems are interacting networks of digital and continuous
systems. - brid systems arise throughout business and industry in
areas such as interactive distributed simulation, trac control,
plant process control, military command and control, aircraft and
robot design, and path planning. Three of the fun- mental problems
that hybrid systems theory should address are: How to model
physical and information systems as hybrid systems; how to verify
that their - havior satis es program or performance specic ations;
and how to extract from performancespeci
cationsforanetworkofphysicalsystemsandtheirsimulation models
digital control programs which will force the network to obey its
perf- mance speci cation. This rapidly developing area is at the
interface of control, engineeringandcomputer science. Methods under
developmentareextensionsof thosefromdiverseareassuchasprogramveri
cation, concurrentanddistributed processes, logic programming,
logics of programs, discrete event simulation, c- culus of
variations, optimization, di erential geometry, Lie algebras,
automata theory, dynamical systems, etc. When the rst LNCS volume
Hybrid Systems was published in 1993, the e ect was to focus the
attention of researchers worldwide on developing theory
andengineeringtoolsapplicabletohybridsystemsinwhichcontinuousprocesses
interact with digital programs in real time. At the time of
publication of this fth volume, there is general agreement that
this is an important area in which mathematics, control
engineering, and computer science can be fruitfully c- bined. There
are now hybrid system sections in many engineering and computer
scienceinternationalmeetings, hybridsystems researchgroupsin
manyuniver- ties and industrial laboratories, and also other
excellent series of hybrid systems conferenc
Artificial Neural Networks have captured the interest of many
researchers in the last five years. As with many young fields,
neural network research has been largely empirical in nature,
relyingstrongly on simulationstudies ofvarious network models.
Empiricism is, of course, essential to any science for it provides
a body of observations allowing initial characterization of the
field. Eventually, however, any maturing field must begin the
process of validating empirically derived conjectures with rigorous
mathematical models. It is in this way that science has always pro
ceeded. It is in this way that science provides conclusions that
can be used across a variety of applications. This monograph by
Michael Lemmon provides just such a theoretical exploration of the
role ofcompetition in Artificial Neural Networks. There is "good
news" and "bad news" associated with theoretical research in neural
networks. The bad news isthat such work usually requires the
understanding of and bringing together of results from many
seemingly disparate disciplines such as neurobiology, cognitive
psychology, theory of differential equations, largc scale systems
theory, computer science, and electrical engineering. The good news
is that for those capable of making this synthesis, the rewards are
rich as exemplified in this monograph."
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